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Book chapter · Conference paper

On the Efficacy of Solving LWE by Reduction to Unique-SVP

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Cryptology, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

University of London3

Technische Universität Darmstadt4

We present a study of the concrete complexity of solving instances of the unique shortest vector problem (uSVP). In particular, we study the complexity of solving the Learning with Errors (LWE) problem by reducing the Bounded-Distance Decoding (BDD) problem to uSVP and attempting to solve such instances using the ‘embedding’ approach.

We experimentally derive a model for the success of the approach, compare to alternative methods and demonstrate that for the LWE instances considered in this work, reducing to uSVP and solving via embedding compares favorably to other approaches.

Language: English
Publisher: Springer
Year: 2014
Pages: 293-310
Proceedings: 16th Annual International Conference on Information Security and CryptologyInternational Conference on Information Security and Cryptology
Series: Lecture Notes in Computer Science
ISBN: 3319121596 , 331912160X , 331912160x , 9783319121598 and 9783319121604
ISSN: 16113349 and 03029743
Types: Book chapter and Conference paper
DOI: 10.1007/978-3-319-12160-4_18

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